21680960444800
21,680,960,444,800 is an even composite number composed of six prime numbers multiplied together.
21680960444800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 21680960444800:
27 × 52 × 17 × 31 × 103 × 124819
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 17 × 31 × 103 × 124819)See below for interesting mathematical facts about the number 21680960444800 from the Numbermatics database.
Names of 21680960444800
- Cardinal: 21680960444800 can be written as Twenty-one trillion, six hundred eighty billion, nine hundred sixty million, four hundred forty-four thousand, eight hundred.
Scientific notation
- Scientific notation: 2.16809604448 × 1013
Factors of 21680960444800
Divisors of 21680960444800
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 4 5 8 10 16 17 20 25 31 32 34 40 50 62 64 68 80 85 100 103 124 128 136 155 160 170 200 206 248 272 310 320 340 400 412 425 496 515 527 544 620 640 680 775 800 824 850 992 1030 1054 1088 1240 1360 1550 1600 1648 1700 1751 1984 2060 2108 2176 2480 2575 2635 2720 3100 3193 3200 3296 3400 3502 3968 4120 4216 4960 5150 5270 5440 6200 6386 6592 6800 7004 8240 8432 8755 9920 10300 10540 10880 12400 12772 13175 13184 13600 14008 15965 16480 16864 17510 19840 20600 21080 24800 25544 26350 27200 28016 31930 32960 33728 35020 41200 42160 43775 49600 51088 52700 54281 54400 56032 63860 65920 67456 70040 79825 82400 84320 87550 99200 102176 105400 108562 112064 124819 127720 140080 159650 164800 168640 175100 204352 210800 217124 224128 249638 255440 271405 280160 319300 329600 337280 350200 408704 421600 434248 499276 510880 542810 560320 624095 638600 700400 843200 868496 998552 1021760 1085620 1120640 1248190 1277200 1357025 1400800 1686400 1736992 1997104 2043520 2121923 2171240 2496380 2554400 2714050 2801600 3120475 3473984 3869389 3994208 4243846 4342480 4992760 5108800 5428100 5603200 6240950 6947968 7738778 7988416 8487692 8684960 9985520 10217600 10609615 10856200 12481900 12856357 15477556 15976832 16975384 17369920 19346945 19971040 21219230 21712400 24963800 25712714 30955112 33950768 34739840 38693890 39942080 42438460 43424800 49927600 51425428 53048075 61910224 64281785 65779613 67901536 77387780 79884160 84876920 86849600 96734725 99855200 102850856 106096150 123820448 128563570 131559226 135803072 154775560 169753840 173699200 193469450 199710400 205701712 212192300 218558069 247640896 257127140 263118452 271606144 309551120 321408925 328898065 339507680 386938900 398547067 399420800 411403424 424384600 437116138 495281792 514254280 526236904 619102240 642817850 657796130 679015360 773877800 797094134 822806848 848769200 874232276 1028508560 1052473808 1092790345 1238204480 1285635700 1315592260 1358030720 1547755600 1594188268 1644490325 1645613696 1697538400 1748464552 1992735335 2057017120 2104947616 2185580690 2476408960 2571271400 2631184520 3095511200 3188376536 3288980650 3395076800 3496929104 3985470670 4114034240 4209895232 4371161380 5142542800 5262369040 5463951725 6191022400 6376753072 6577961300 6775300139 6790153600 6993858208 7970941340 8228068480 8419790464 8742322760 9963676675 10285085600 10524738080 10927903450 12382044800 12753506144 13155922600 13550600278 13987716416 15941882680 17484645520 19927353350 20570171200 21049476160 21855806900 25507012288 26311845200 27101200556 27975432832 31883765360 33876500695 34969291040 39854706700 41140342400 42098952320 43711613800 51014024576 52623690400 54202401112 63767530720 67753001390 69938582080 79709413400 87423227600 105247380800 108404802224 127535061440 135506002780 139877164160 159418826800 169382503475 174846455200 210494761600 216809604448 255070122880 271012005560 318837653600 338765006950 349692910400 433619208896 542024011120 637675307200 677530013900 699385820800 867238417792 1084048022240 1275350614400 1355060027800 2168096044480 2710120055600 4336192088960 5420240111200 10840480222400 21680960444800
- Sum of all divisors σ(n): 59107402598400
- Sum of proper divisors (its aliquot sum) s(n): 37426442153600
- 21680960444800 is an abundant number, because the sum of its proper divisors (37426442153600) is greater than itself. Its abundance is 15745481708800
Bases of 21680960444800
- Binary: 1001110110111111111011111001000011001100000002
- Hexadecimal: 0x13B7FDF21980
- Base-36: 7OO3G29OG
Squares and roots of 21680960444800
- 21680960444800 squared (216809604448002) is 470064045808982213847040000
- 21680960444800 cubed (216809604448003) is 10191439983707198594964409077563392000000
-
The
square root of 21680960444800 is 4656281.8261784799 -
The
cube root of 21680960444800 is 27884.2845359155
Scales and comparisons
How big is 21680960444800?- 21,680,960,444,800 seconds is equal to 689,387 years, 24 weeks, 6 days, 4 hours, 26 minutes, 40 seconds.
-
To count from 1 to 21,680,960,444,800 would take you about one million, seven hundred twenty-three thousand, four hundred sixty-eight years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 21680960444800 cubic inches would be around 2323.7 feet tall.
Recreational maths with 21680960444800
- 21680960444800 backwards is 00844406908612
- The number of decimal digits it has is: 14
- The sum of 21680960444800's digits is 52
- More coming soon!
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